What is the Least Common Multiple of 5120 and 5133?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5120 and 5133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5120 and 5133, than apply into the LCM equation.

GCF(5120,5133) = 1
LCM(5120,5133) = ( 5120 × 5133) / 1
LCM(5120,5133) = 26280960 / 1
LCM(5120,5133) = 26280960

Least Common Multiple (LCM) of 5120 and 5133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5133. First we will calculate the prime factors of 5120 and 5133.

Prime Factorization of 5120

Prime Factorization of 5133

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5133.

LCM(5120,5133) = 2¹⁰ × 5¹ × 3¹ × 29¹ × 59¹
LCM(5120,5133) = 26280960